Websites on Static or Dynamic IP

You can host a website whether you have a static or dynamic IP. For instance, I have Time Warner Road Runner, and they provide dynamic IPs, but my dynamic IP hasen’t changed in two years or so. This makes things extremely easy. An even if they change the IP, considering the time between changes, I can easily update my DNS records to point to the new IP.

With a static IP address there is no issues. You will always have the same exact IP address as long as you pay the bills

There are cool services, like dyndns.org, that provide software to automatically update DNS records using information retrieved from your router. This service comes in handy when the dynamic IP changes frequently.

Overall a website can be hosted, on the internet, from any computer independent of the dynamic or static state of your IP address.